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38214432 = 2532132689
BaseRepresentation
bin1001000111000…
…1101100100000
32122220111100100
42101301230200
534240330212
63443022400
7642550224
oct221615440
978814310
1038214432
111a631083
121096aa00
137bbcbb9
14510a784
15354cbdc
hex2471b20

38214432 has 36 divisors (see below), whose sum is σ = 108673110. Its totient is φ = 12738048.

The previous prime is 38214361. The next prime is 38214467. The reversal of 38214432 is 23441283.

It can be written as a sum of positive squares in only one way, i.e., 37896336 + 318096 = 6156^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38214396 and 38214405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66057 + ... + 66632.

Almost surely, 238214432 is an apocalyptic number.

38214432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38214432 is an abundant number, since it is smaller than the sum of its proper divisors (70458678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38214432 is a wasteful number, since it uses less digits than its factorization.

38214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132705 (or 132694 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 38214432 is about 6181.7822672754. The cubic root of 38214432 is about 336.8287365719.

The spelling of 38214432 in words is "thirty-eight million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 132689 265378 398067 530756 796134 1061512 1194201 1592268 2123024 2388402 3184536 4246048 4776804 6369072 9553608 12738144 19107216 38214432